DUFFING EQUATION WITH 2 PERIODIC FORCINGS - THE PHASE EFFECT

Authors
Citation
Jz. Yang et al., DUFFING EQUATION WITH 2 PERIODIC FORCINGS - THE PHASE EFFECT, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(5), 1996, pp. 4402-4413
Citations number
23
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
53
Issue
5
Year of publication
1996
Part
A
Pages
4402 - 4413
Database
ISI
SICI code
1063-651X(1996)53:5<4402:DEW2PF>2.0.ZU;2-X
Abstract
A weak additional sinusoidal perturbation is applied to the periodical ly forced nonlinear oscillator to suppress chaos. Numerical simulation s show that the phase difference between the two sinusoidal forces pla ys a very important role in controlling chaos. When the frequencies of these forces deviate from the resonance condition slightly, a differe nt type of intermittency, alternation from regular motion to chaotic m otion (called breather here), is observed. If the phase difference fol lows a Wiener process, conventional intermittency is observed.